#kolmogorov

[algenotto]

[fuckyeahfluiddynamics]

Kolmogorov Turbulence

Turbulent flows are ubiquitous, but they're also mindbogglingly complex: ever-changing in both time and space across length scales both large and small.  (Image credit: C. Amores and M. Graham) Read the full article

[iron-carnage]

Kolmogorov my beloved

[fuckyeahfluiddynamics]

Testing Turbulence's Limits

Understanding chaotic, turbulent flows has long challenged scientists and engineers due to their sheer complexity. (Image credit: D. Páscoa; research credit: C. Küchler et al.; via APS Physics)

[bookwormlily]

Euler's Method

Thiele's Differential Equation

Kolmogorov's Forward Equation

[curiosamathematica]

At any moment there is only a fine layer between the trivial and the impossible. Mathematical discoveries are made in this layer.

Andery Kolmogorov

[studyinglogic]

On speaking truth to power

Two very different lives: Sophie Scholl and Kolmogorov.

[zzkt]

The Kolmogorov option

Andrey Nikolaevich Kolmogorov was one of the giants of 20th-century mathematics. I’ve always found it amazing that the same man was responsible both for establishing the foundations of classical probability theory in the 1930s, and also for co-inventing the theory of algorithmic randomness (a.k.a. Kolmogorov complexity) in the 1960s, which challenged the classical foundations, by holding that it is possible after all to talk about the entropy of an individual object, without reference to any ensemble from which the object was drawn. Incredibly, going strong into his eighties, Kolmogorov then pioneered the study of “sophistication,” which amends Kolmogorov complexity to assign low values both to “simple” objects and “random” ones, and high values only to a third category of objects, which are “neither simple nor random.” So, Kolmogorov was at the vanguard of the revolution, counter-revolution, and counter-counter-revolution.

via http://www.scottaaronson.com/blog/?p=3376